Probability and statistics are as much about intuition and problem solving as they are about theorem proving. Consequently, students can find it very difficult to make a successful transition from lectures to examinations to practice because the problems involved can vary so much in nature. Since the subject is critical in so many applications from insurance to telecommunications to bioinformatics, the authors have collected more than 200 worked examples and examination questions with complete solutions to help students develop a deep understanding of the subject rather than a superficial knowledge of sophisticated theories. With amusing stories and historical asides sprinkled throughout, this enjoyable book will leave students better equipped to solve problems in practice and under exam conditions.Suppose now that T is an RV independent of X and Y with PDF 2t, if 0 alt; t alt; 1 W) I
. 0, otherw1se. Prove that the RVs TX and TY ... X and Y are dependent. Next, for
t, a:, y Q R, ammo I m + ... The Jacobian 30, u, v) i 2 30, 9641) * t a#39; 1 at I det 0 t 0 0anbsp;...